{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import csv\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import re\n",
        "import os"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "~/home/lizhouyu/zch_results/result_tbsize_100000_nonzch_dlrmv3_kuairand/training_metrics.csv\n"
          ]
        }
      ],
      "source": [
        "profiling_result_folder = \"~/home/lizhouyu/zch_results/result_tbsize_10000_nonzch_dlrmv3_kuairand\"\n",
        "training_metrics_file_path = os.path.join(profiling_result_folder, \"training_metrics.csv\")\n",
        "print(training_metrics_file_path)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "figure_folder = \"/home/lizhouyu/zch_results/figures\"\n",
        "os.makedirs(figure_folder, exist_ok=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "def get_losses(training_metrics_file_path):\n",
        "    df_loss_stats = pd.read_csv(training_metrics_file_path)\n",
        "    # maintain a dictionary of {feature_name: {batch_idx: num_queries_over_all_ranks_at_batch_idx}}\n",
        "    rank_loss_dict = {}\n",
        "    for index, row in df_loss_stats.iterrows():\n",
        "        epoch_idx = row[\"epoch_idx\"]\n",
        "        batch_idx = row[\"batch_idx\"]\n",
        "        rank_idx = row[\"rank\"]\n",
        "        loss = row[\"loss\"]\n",
        "        if rank_idx not in rank_loss_dict:\n",
        "            rank_loss_dict[rank_idx] = {}\n",
        "        if epoch_idx not in rank_loss_dict[rank_idx]:\n",
        "            rank_loss_dict[rank_idx][epoch_idx] = {}\n",
        "        rank_loss_dict[rank_idx][epoch_idx][batch_idx] = loss\n",
        "    # sort the dictionary by epoch_idx and batch_idx\n",
        "    for rank_idx in rank_loss_dict:\n",
        "        for epoch_idx in rank_loss_dict[rank_idx]:\n",
        "            # sort the dictionary by batch_idx\n",
        "            rank_loss_dict[rank_idx][epoch_idx] = dict(sorted(rank_loss_dict[rank_idx][epoch_idx].items(), key=lambda item: item[0]))\n",
        "        rank_loss_dict[rank_idx] = dict(sorted(rank_loss_dict[rank_idx].items(), key=lambda item: item[0]))\n",
        "    return rank_loss_dict"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "rank_loss_dict = get_losses(training_metrics_file_path)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "rank 2.0: [0, 1, 2, 3, 4], [1.138333797454834, 0.5457656383514404, 0.3342053592205047, 0.6205226182937622, 0.391040027141571]\n",
            "rank 2.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1.138333797454834, 0.5457656383514404, 0.3342053592205047, 0.6205226182937622, 0.391040027141571, 0.3396586775779724, 0.321709394454956, 0.283235639333725, 0.2897059023380279, 0.3223789036273956]\n",
            "rank 2.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [1.138333797454834, 0.5457656383514404, 0.3342053592205047, 0.6205226182937622, 0.391040027141571, 0.3396586775779724, 0.321709394454956, 0.283235639333725, 0.2897059023380279, 0.3223789036273956, 0.2584977149963379, 0.2114641666412353, 0.1528449356555938, 0.1568348407745361, 0.1585436761379242]\n",
            "rank 2.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], [1.138333797454834, 0.5457656383514404, 0.3342053592205047, 0.6205226182937622, 0.391040027141571, 0.3396586775779724, 0.321709394454956, 0.283235639333725, 0.2897059023380279, 0.3223789036273956, 0.2584977149963379, 0.2114641666412353, 0.1528449356555938, 0.1568348407745361, 0.1585436761379242, 0.1423344314098358, 0.0571691244840621, 0.10752484947443, 0.1349627524614334, 0.1466308087110519]\n",
            "rank 2.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], [1.138333797454834, 0.5457656383514404, 0.3342053592205047, 0.6205226182937622, 0.391040027141571, 0.3396586775779724, 0.321709394454956, 0.283235639333725, 0.2897059023380279, 0.3223789036273956, 0.2584977149963379, 0.2114641666412353, 0.1528449356555938, 0.1568348407745361, 0.1585436761379242, 0.1423344314098358, 0.0571691244840621, 0.10752484947443, 0.1349627524614334, 0.1466308087110519, 0.0985662415623664, 0.0464043654501438, 0.0745199099183082, 0.0741427764296531, 0.1006815731525421]\n",
            "rank 3.0: [0, 1, 2, 3, 4], [1.1382150650024414, 0.5553121566772461, 0.4365339279174804, 0.569819986820221, 0.3744396865367889]\n",
            "rank 3.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1.1382150650024414, 0.5553121566772461, 0.4365339279174804, 0.569819986820221, 0.3744396865367889, 0.414739727973938, 0.3255707025527954, 0.3268932402133941, 0.3034020662307739, 0.3232459723949432]\n",
            "rank 3.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14], [1.1382150650024414, 0.5553121566772461, 0.4365339279174804, 0.569819986820221, 0.3744396865367889, 0.414739727973938, 0.3255707025527954, 0.3268932402133941, 0.3034020662307739, 0.3232459723949432, 0.2932410836219787, 0.2323068678379058, 0.1650662720203399, 0.1533084362745285, 0.1558424085378646]\n",
            "rank 3.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], [1.1382150650024414, 0.5553121566772461, 0.4365339279174804, 0.569819986820221, 0.3744396865367889, 0.414739727973938, 0.3255707025527954, 0.3268932402133941, 0.3034020662307739, 0.3232459723949432, 0.2932410836219787, 0.2323068678379058, 0.1650662720203399, 0.1533084362745285, 0.1558424085378646, 0.1498693972826004, 0.163302481174469, 0.0863082036375999, 0.1172765046358108, 0.1370680779218673]\n",
            "rank 3.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24], [1.1382150650024414, 0.5553121566772461, 0.4365339279174804, 0.569819986820221, 0.3744396865367889, 0.414739727973938, 0.3255707025527954, 0.3268932402133941, 0.3034020662307739, 0.3232459723949432, 0.2932410836219787, 0.2323068678379058, 0.1650662720203399, 0.1533084362745285, 0.1558424085378646, 0.1498693972826004, 0.163302481174469, 0.0863082036375999, 0.1172765046358108, 0.1370680779218673, 0.1128759309649467, 0.0937347933650016, 0.0475536584854126, 0.0801456496119499, 0.0885656252503395]\n",
            "rank 1.0: [0, 1, 2, 3, 4], [1.1458685398101809, 0.5531677007675171, 0.391063779592514, 0.6452085375785828, 0.4466192722320556]\n",
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            "rank 1.0: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19], [1.1458685398101809, 0.5531677007675171, 0.391063779592514, 0.6452085375785828, 0.4466192722320556, 0.3126348257064819, 0.2996817231178283, 0.3103827238082886, 0.3142829835414886, 0.3542587757110595, 0.2704129815101623, 0.2222327440977096, 0.1495689451694488, 0.151196539402008, 0.1578521430492401, 0.1376404762268066, 0.1004212945699691, 0.0882346853613853, 0.1304997652769088, 0.1306755989789962]\n",
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        {
          "data": {
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",
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot the loss vs batch_idx\n",
        "# each rank has a different line\n",
        "fig = plt.figure(figsize=(8, 6))\n",
        "font_size = 24\n",
        "for rank_idx in rank_loss_dict:\n",
        "    x_list = []\n",
        "    y_list = []\n",
        "    num_accumulated = 0\n",
        "    for epoch_idx in rank_loss_dict[rank_idx]:\n",
        "        for batch_idx in rank_loss_dict[rank_idx]:\n",
        "            x_list.append(num_accumulated)\n",
        "            y_list.append(rank_loss_dict[rank_idx][epoch_idx][batch_idx])\n",
        "            num_accumulated += 1\n",
        "        print(f\"rank {rank_idx}: {x_list}, {y_list}\")\n",
        "    plt.plot(x_list, y_list, label=f\"rank {rank_idx}\", linewidth=3)\n",
        "plt.xlabel(\"batch_idx\", fontsize=font_size)\n",
        "plt.ylabel(\"loss\", fontsize=font_size)\n",
        "# plt.title(\"loss vs batch_idx\", fontsize=font_size)\n",
        "plt.xticks(fontsize=font_size)\n",
        "plt.yticks(fontsize=font_size)\n",
        "plt.legend(fontsize=font_size*0.7)\n",
        "# save\n",
        "fig_path = os.path.join(figure_folder, \"loss_vs_batch_idx.png\")\n",
        "plt.tight_layout()\n",
        "fig.savefig(fig_path)\n",
        "plt.show()\n",
        "plt.close()"
      ]
    }
  ],
  "metadata": {
    "orig_nbformat": 4
  }
}
